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Finding the Fourth Proportional to 3,241.48, 4,855.20 and 2,009.20

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Solution

The fourth proportional to 3,241.48, 4,855.20 and 2,009.20 is: 3,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.48 : 4,855.20 = 2,009.20 : x
  2. Step 2: Convert to fraction form
    3,241.48/4,855.20 = 2,009.20/x
  3. Step 3: Cross multiply
    3,241.48x = 4,855.20 × 2,009.20
  4. Step 4: Simplify right side
    3,241.48x = 9,755,067.84
  5. Step 5: Solve for x
    x = 9,755,067.84/3,241.48
  6. Step 6: Final answer
    x = 3,009.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.